 A simple rule for the evolution of cooperation on graphs and social networks by Hisashi Ohtsuki and others

By Hisashi Ohtsuki and colleagues. Nature 441, 502–505 (25 May 2006); DOI doi.org/10.1038/nature04605

Original paper: personal.math.ubc.ca/~hauert/publications/reprints/ohtsuki_nature06.pdf

Supporting information: personal.math.ubc.ca/~hauert/publications/reprints/ohtsuki_nature06supp.pdf

Pages 502–504: donation-game payoffs, weak selection, death–birth updating and large regular graphs; the threshold depends on the update rule. Figure 2 shows finite-population departures from the asymptotic rule.